TSTP Solution File: LCL609^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL609^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:16:11 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL609^1 : TPTP v8.2.0. Released v3.6.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 00:43:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (7703)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (7699)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.37 % (7697)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (7698)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.37 % (7700)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (7701)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (7702)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.37 % (7700)Instruction limit reached!
% 0.13/0.37 % (7700)------------------------------
% 0.13/0.37 % (7700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (7700)Termination reason: Unknown
% 0.13/0.37 % (7701)Instruction limit reached!
% 0.13/0.37 % (7701)------------------------------
% 0.13/0.37 % (7701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (7701)Termination reason: Unknown
% 0.13/0.37 % (7701)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (7701)Memory used [KB]: 1023
% 0.13/0.37 % (7701)Time elapsed: 0.003 s
% 0.13/0.37 % (7701)Instructions burned: 2 (million)
% 0.13/0.37 % (7701)------------------------------
% 0.13/0.37 % (7701)------------------------------
% 0.13/0.37 % (7700)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (7700)Memory used [KB]: 1023
% 0.13/0.37 % (7700)Time elapsed: 0.003 s
% 0.13/0.37 % (7700)Instructions burned: 2 (million)
% 0.13/0.37 % (7700)------------------------------
% 0.13/0.37 % (7700)------------------------------
% 0.13/0.37 % (7703)First to succeed.
% 0.13/0.37 % (7702)Also succeeded, but the first one will report.
% 0.13/0.37 % (7703)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% 0.13/0.37 thf(type_def_6, type, individuals: $tType).
% 0.13/0.37 thf(func_def_1, type, prop_a: $i > $o).
% 0.13/0.37 thf(func_def_2, type, prop_b: $i > $o).
% 0.13/0.37 thf(func_def_3, type, prop_c: $i > $o).
% 0.13/0.37 thf(func_def_4, type, mfalse: $i > $o).
% 0.13/0.37 thf(func_def_5, type, mtrue: $i > $o).
% 0.13/0.37 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_14, type, individuals: $tType).
% 0.13/0.37 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.13/0.37 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.13/0.37 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.13/0.37 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.13/0.37 thf(func_def_34, type, sK0: individuals > $i > $o).
% 0.13/0.37 thf(func_def_37, type, sK3: individuals).
% 0.13/0.37 thf(f82,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f81])).
% 0.13/0.37 thf(f81,plain,(
% 0.13/0.37 ($true = $false)),
% 0.13/0.37 inference(superposition,[],[f77,f79])).
% 0.13/0.37 thf(f79,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : individuals] : (($true = (sK0 @ X1 @ X2))) )),
% 0.13/0.37 inference(pi_clausification,[],[f78])).
% 0.13/0.37 thf(f78,plain,(
% 0.13/0.37 ( ! [X1 : individuals] : (($true = (!! @ $i @ (sK0 @ X1)))) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f71])).
% 0.13/0.37 thf(f71,plain,(
% 0.13/0.37 ( ! [X1 : individuals] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (sK0 @ X1)))) )),
% 0.13/0.37 inference(definition_unfolding,[],[f64,f61])).
% 0.13/0.37 thf(f61,plain,(
% 0.13/0.37 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.37 inference(cnf_transformation,[],[f42])).
% 0.13/0.37 thf(f42,plain,(
% 0.13/0.37 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.37 inference(fool_elimination,[],[f41])).
% 0.13/0.37 thf(f41,plain,(
% 0.13/0.37 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.13/0.37 inference(rectify,[],[f12])).
% 0.13/0.37 thf(f12,axiom,(
% 0.13/0.37 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.13/0.37 thf(f64,plain,(
% 0.13/0.37 ( ! [X1 : individuals] : (($true = (mvalid @ (sK0 @ X1)))) )),
% 0.13/0.37 inference(cnf_transformation,[],[f51])).
% 0.13/0.37 thf(f51,plain,(
% 0.13/0.37 ! [X1 : individuals] : ($true = (mvalid @ (sK0 @ X1))) & ($true != (mvalid @ (mall @ (^[Y0 : individuals]: (sK0 @ Y0)))))),
% 0.13/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f49,f50])).
% 0.13/0.37 thf(f50,plain,(
% 0.13/0.37 ? [X0 : individuals > $i > $o] : (! [X1 : individuals] : ($true = (mvalid @ (X0 @ X1))) & ($true != (mvalid @ (mall @ (^[Y0 : individuals]: (X0 @ Y0)))))) => (! [X1 : individuals] : ($true = (mvalid @ (sK0 @ X1))) & ($true != (mvalid @ (mall @ (^[Y0 : individuals]: (sK0 @ Y0))))))),
% 0.13/0.37 introduced(choice_axiom,[])).
% 0.13/0.37 thf(f49,plain,(
% 0.13/0.37 ? [X0 : individuals > $i > $o] : (! [X1 : individuals] : ($true = (mvalid @ (X0 @ X1))) & ($true != (mvalid @ (mall @ (^[Y0 : individuals]: (X0 @ Y0))))))),
% 0.13/0.37 inference(ennf_transformation,[],[f22])).
% 0.13/0.37 thf(f22,plain,(
% 0.13/0.37 ~! [X0 : individuals > $i > $o] : (! [X1 : individuals] : ($true = (mvalid @ (X0 @ X1))) => ($true = (mvalid @ (mall @ (^[Y0 : individuals]: (X0 @ Y0))))))),
% 0.13/0.37 inference(fool_elimination,[],[f21])).
% 0.13/0.37 thf(f21,plain,(
% 0.13/0.37 ~! [X0 : individuals > $i > $o] : (! [X1 : individuals] : (mvalid @ (X0 @ X1)) => (mvalid @ (mall @ (^[X2 : individuals] : (X0 @ X2)))))),
% 0.13/0.37 inference(rectify,[],[f17])).
% 0.13/0.37 thf(f17,negated_conjecture,(
% 0.13/0.37 ~! [X5 : individuals > $i > $o] : (! [X0 : individuals] : (mvalid @ (X5 @ X0)) => (mvalid @ (mall @ (^[X0 : individuals] : (X5 @ X0)))))),
% 0.13/0.37 inference(negated_conjecture,[],[f16])).
% 0.13/0.37 thf(f16,conjecture,(
% 0.13/0.37 ! [X5 : individuals > $i > $o] : (! [X0 : individuals] : (mvalid @ (X5 @ X0)) => (mvalid @ (mall @ (^[X0 : individuals] : (X5 @ X0)))))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)).
% 0.13/0.37 thf(f77,plain,(
% 0.13/0.37 ((sK0 @ sK3 @ sK2) = $false)),
% 0.13/0.37 inference(beta_eta_normalization,[],[f76])).
% 0.13/0.37 thf(f76,plain,(
% 0.13/0.37 ($false = ((^[Y0 : individuals]: (sK0 @ Y0 @ sK2)) @ sK3))),
% 0.13/0.37 inference(sigma_clausification,[],[f75])).
% 0.13/0.37 thf(f75,plain,(
% 0.13/0.37 ($false = (!! @ individuals @ (^[Y0 : individuals]: (sK0 @ Y0 @ sK2))))),
% 0.13/0.37 inference(beta_eta_normalization,[],[f74])).
% 0.13/0.37 thf(f74,plain,(
% 0.13/0.37 (((^[Y0 : $i]: (!! @ individuals @ (^[Y1 : individuals]: (sK0 @ Y1 @ Y0)))) @ sK2) = $false)),
% 0.13/0.37 inference(sigma_clausification,[],[f73])).
% 0.13/0.37 thf(f73,plain,(
% 0.13/0.37 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ individuals @ (^[Y1 : individuals]: (sK0 @ Y1 @ Y0))))))),
% 0.13/0.37 inference(beta_eta_normalization,[],[f72])).
% 0.13/0.37 thf(f72,plain,(
% 0.13/0.37 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : individuals > $i > $o]: ((^[Y1 : $i]: (!! @ individuals @ (^[Y2 : individuals]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : individuals]: (sK0 @ Y0)))))),
% 0.13/0.37 inference(definition_unfolding,[],[f63,f61,f66])).
% 0.13/0.37 thf(f66,plain,(
% 0.13/0.37 (mall = (^[Y0 : individuals > $i > $o]: ((^[Y1 : $i]: (!! @ individuals @ (^[Y2 : individuals]: (Y0 @ Y2 @ Y1)))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f30])).
% 0.13/0.37 thf(f30,plain,(
% 0.13/0.37 (mall = (^[Y0 : individuals > $i > $o]: ((^[Y1 : $i]: (!! @ individuals @ (^[Y2 : individuals]: (Y0 @ Y2 @ Y1)))))))),
% 0.13/0.37 inference(fool_elimination,[],[f29])).
% 0.13/0.37 thf(f29,plain,(
% 0.13/0.37 ((^[X0 : individuals > $i > $o, X1 : $i] : (! [X2 : individuals] : (X0 @ X2 @ X1))) = mall)),
% 0.13/0.37 inference(rectify,[],[f10])).
% 0.13/0.37 thf(f10,axiom,(
% 0.13/0.37 ((^[X5 : individuals > $i > $o, X6 : $i] : (! [X0 : individuals] : (X5 @ X0 @ X6))) = mall)),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mall)).
% 0.13/0.37 thf(f63,plain,(
% 0.13/0.37 ($true != (mvalid @ (mall @ (^[Y0 : individuals]: (sK0 @ Y0)))))),
% 0.13/0.37 inference(cnf_transformation,[],[f51])).
% 0.13/0.37 % SZS output end Proof for theBenchmark
% 0.13/0.37 % (7703)------------------------------
% 0.13/0.37 % (7703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (7703)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (7703)Memory used [KB]: 5500
% 0.13/0.37 % (7703)Time elapsed: 0.005 s
% 0.13/0.37 % (7703)Instructions burned: 4 (million)
% 0.13/0.37 % (7703)------------------------------
% 0.13/0.37 % (7703)------------------------------
% 0.13/0.37 % (7696)Success in time 0.008 s
% 0.13/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------